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Simplifying 4(2x + 6) = 5(x + 4) + x Reorder the terms: 4(6 + 2x) = 5(x + 4) + x (6 * 4 + 2x * 4) = 5(x + 4) + x (24 + 8x) = 5(x + 4) + x Reorder the terms: 24 + 8x = 5(4 + x) + x 24 + 8x = (4 * 5 + x * 5) + x 24 + 8x = (20 + 5x) + x Combine like terms: 5x + x = 6x 24 + 8x = 20 + 6x Solving 24 + 8x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 8x + -6x = 20 + 6x + -6x Combine like terms: 8x + -6x = 2x 24 + 2x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 2x = 20 + 0 24 + 2x = 20 Add '-24' to each side of the equation. 24 + -24 + 2x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 20 + -24 2x = 20 + -24 Combine like terms: 20 + -24 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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